MLE of the Matrix Fisher distribution on SO(3) {Directional}

MLE of the Matrix Fisher distribution on SO(3)

Description

It returns the maximum likelihood estimate of the Matrix Fisher parameter F(3x3).

Usage

matrixfisher.mle(X)

Arguments

X

An array containing rotation matrices in SO(3).

Value

The components of svd( \bar{X} ) .

Author(s)

Anamul Sajib and Chris Fallaize.

R implementation and documentation: Anamul Sajib <[e-mail]> and Chris Fallaize.

References

Prentice M. J. (1986). Orientation statistics without parametric assumptions. Journal of the Royal Statistical Society. Series B: Methodological 48(2): 214–222.

See Also

rmatrixfisher

Examples

F <- 10^(-1) * matrix( c(85, 11, 41, 78, 39, 60, 43, 64, 48), ncol = 3 )   ### An arbitrary F matrix
X <- rmatrixfisher(5000, F)
matrixfisher.mle(X)
svd(F)